Every graph has only one minimum spanning tree. State true or false.a)Trueb)False

Which of the following is falsea. None of Themb. The spanning trees do not have cyclesc. Removing one edge from Spanning tree will not make the graph disconnected. d. Minimum Spanning Tree have n-1 edges if the Graph has n edges

Consider a undirected graph G with vertices { A, B, C, D, E}. In graph G, every edge has distinct weight. Edge CD is edge with minimum weight and edge AB is edge with maximum weight. Then, which of the following is false?ans.Every minimum spanning tree of G must contain CDG has a unique minimum spanning treeIf AB is in a minimum spanning tree, then its removal must disconnect GNo minimum spanning tree contains AB Previous Marked for Review Next

Consider the graph M with 3 vertices. Its adjacency matrix is shown below. Which of the following is true? M={{0, 1, 1},{1, 0, 1},{1, 1, 0}} Options Graph M has no minimum spanning tree Graph M has a unique minimum spanning trees of cost 2 Graph M has 3 distinct minimum spanning trees, each of cost 2 Graph M has 3 spanning trees of different costs

Which of the following is a property of minimum spanning trees?A. They contain the maximum number of edges.B. They are always cyclic.C. They have the minimum total weight among all spanning trees.D. They contain all vertices of the graph.

Let G be an undirected connected graph with distinct edge weight. Let emax be the edge with maximum weight and emin the edge with minimum weight. Which of the following statements is false?Marks : 1Negative Marks : 0Answer hereEvery minimum spanning tree of G must contain eminG has a unique minimum-spanning treeNo minimum spanning tree contains emaxIf emax is in a minimum spanning tree, then its removal must disconnect GClearPrevNext